MathDB
Sum of Digits is 20

Source: 2015 AIME I Problem 8

March 20, 2015
AMCAIMEAIME I

Problem Statement

For positive integer nn, let s(n)s(n) denote the sum of the digits of nn. Find the smallest positive integer nn satisfying s(n)=s(n+864)=20s(n)=s(n+864)=20.